1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inn [45]
3 years ago
5

Someone please explain step by step.

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

Answer:

{10}^{th}  \: term  =  \frac{5}{512}

Step-by-step explanation:

geometric progression formula:

{n}^{th} \:  term  = ar ^{n - 1}

given:

common ratio, r = 1/2

first \: term \:  = 5

1) find the value of a

{n}^{th}  \: term \:  = a {r}^{n - 1}

we're finding the 1st term, so substitute 1 into n:

{1}^{st}  \: term  = a( \frac{1}{2} ) {}^{1 - 1}

first term is 5. so we substitute 5 into the equation:

5 = a(1)

a = 5

2) find the 10th term

we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:

{10}^{th}  \: term  = 5( \frac{1}{2} ) {}^{10 - 1}

{10}^{th}  \: term  = 5( \frac{1}{512} )

{10}^{th}  \: term =  \frac{5}{512}

You might be interested in
Which point is the reflection of (2,-5) on the
Ivahew [28]
A reflection in the y-axis will reverse the x values but not change the y value
The answer is D. (-2,-5)
7 0
2 years ago
Find he simple interest paid to the nearest cent for each principal, interest rate , and time. $390,3%,5years
Alenkinab [10]

Answer:

the answer is $58.50 cents

6 0
2 years ago
The freezing point of a certain liquid is -7F . Another liquid freezes at -12F . What is the difference between the absolute val
melamori03 [73]

Answer:

Step-by-step explanation:

5

8 0
3 years ago
What number is 44% of 25
AysviL [449]
44 percent of 25 is 11 to get percentage u would take 44 and divide it by a hundred and u would get .44 and then u would multiply that by 25 and u get 11

8 0
3 years ago
Read 2 more answers
A Pest control company sprays insecticide around the perimeter of a 180 ft by 180 ft building. If the spray costs $.11 per foot,
andreev551 [17]
P = 4a.....this is the perimeter of a square
P = 4(180)
P = 720 ft

and if the spray cost 0.11 per ft......720 * 0.11 = 79.20 rounded to the nearest dollar is $ 79 <==
5 0
3 years ago
Other questions:
  • Simplify the follow<br>15- (8+3)​
    6·2 answers
  • Peter buys a camper van costing £35000+ 20% VAT he pays a 50% deposit and then arranged to pay the remaining balance in 20 equal
    12·1 answer
  • 12 imperial inches equals how many meters
    13·1 answer
  • PLEASE HELP ME PLEASE I REALLY NEED HELP
    15·1 answer
  • What is the solution to 3/5x - 4/5 = 1/5x?
    7·1 answer
  • Where are they getting the $8.18 and $6.32 numbers for each calculation?
    11·1 answer
  • Can someone help me, ive been trying to figure this out for 30 minutes.
    10·1 answer
  • Solve x² + 6x + 1 = 0
    15·1 answer
  • I NEED THE AWANSER ASAP What is the volume of each of the five colors in a 3-inch cubed notepad? Assume each color has the same
    7·2 answers
  • 27 devided by 1234 chunking method
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!